Question

Part A Write an equation in point-slope form for the line that passes through the point with the given slope. (–6, –3), m = –1 Part B Graph the equation.

Answer 1

y +3 = -x -6

See the attachment for a graph

Explanation:

You want the point-slope equation and graph of the line through point (-6, -3) with slope -1.

Point-slope equation

The point-slope equation of a line through point (h, k) with slope m is ...

y -k = m(x -h)

You have (h, k) = (-6, -3) and m = -1, so the equation is ...

y -(-3) = (-1)(x -(-6))

y +3 = -x -6 . . . . . point slope equation

Graph

The slope is the ratio of "rise" to "run" for the line. A slope of -1 means the "rise" is -1 for each 1 unit to the right. That is, (-6+1, -3-1) = (-5, -4) will be another point on the line, in addition to the one given.

The graph is shown in the attachment.